# A child of mass m starts from rest and slides with-out friction from a height h along a curved waterslide(Fig. P5.46). She is launched from a height h/5 into the pool.(a) Is mechanical energy conserved? Why? (b) Give the gravi-tational potential energy associated with the child and herkinetic energy in terms of mgh at the following positions:the top of the waterslide, the launching point, and the pointwhere she lands in the pool. (c) Determine her initial speedh at the launch point in terms of g and h. (d) Determine hermaximum airborne height ymax in terms of h, g, and the hori-zontal speed at that height, w (e) Use the x-component ofthe answer to part (c) to eliminate y from the answer to part(d), giving the height ymax in terms of g, h, and the launchangle 0. (f) Would your answers be the same if the waterslidewere not frictionless? Explain.Утахth/5Figure P5.46

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Step 1

Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify the other subparts you’d like to get answered.

Step 2

Given:

Mass of the child = m

Initial velocity of the child = 0

Height of sliding = h

Height of launching = h/5

Step 3

Part (a): according to the law of conservation of energy

Energy of the system remains conserved until an external force is applied on it.

Since the child is sliding on the frictional less surface. There are only two forces experienced by ...

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